What cards do you have currently? What's your credit history like? Credit age, current cards? Any derogatory on your report? Two of the banks you've mentioned have some tight underwriting requirements. You can check the Discover pre-qual page since they have a less stringent underwriting process and tends to pave the way for young, thin or those rebuilding their files. I'd start with Discover first and make the other two banks your goal after 6 mos. to one year. Just my opinion.
maybe fasting too?